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We introduce the concept of group state transfer on graphs, summarize its relationship to other concepts in the theory of quantum walks, set up a basic theory, and discuss examples. Let $X$ be a graph with adjacency matrix $A$ and consider…

量子物理 · 物理学 2021-03-17 Luke C. Brown , William J. Martin , Duncan Wright

Quantum state transfer (QST) via homogeneous spin chains plays a crucial role in building scalable quantum hardware. A basic quantum state transmission protocol prepares a state in one qubit and transfers it to another through a channel,…

量子物理 · 物理学 2025-10-07 Sofía Perón Santana , Ariel Fiuri , Omar Osenda , Martín Domínguez

The basic idea of spin chain engineering for perfect quantum state transfer (QST) is to find a set of coupling constants in the Hamiltonian, such that a particular state initially encoded on one site will evolve freely to the opposite site…

量子物理 · 物理学 2007-05-23 Man-Hong Yung

A quantum network combines the benefits of quantum systems regarding secure information transmission and calculational speed-up by employing quantum coherence and entanglement to store, transmit, and process information. A promising…

量子物理 · 物理学 2015-01-13 Christoph Kurz , Michael Schug , Pascal Eich , Jan Huwer , Philipp Müller , Jürgen Eschner

We suggest a protocol for perfect quantum communication through spin chain channels. By combining a dual-rail encoding with measurements only at the receiving end, we can get conclusively perfect state transfer, whose probability of success…

量子物理 · 物理学 2009-11-10 Daniel Burgarth , Sougato Bose

An $s$-pair state in a graph is a quantum state of the form $\mathbf{e}_u+s\mathbf{e}_v$, where $u$ and $v$ are vertices in the graph and $s$ is a non-zero complex number. If $s=-1$ (resp., $s=1$), then such a state is called a pair state…

量子物理 · 物理学 2024-07-30 Sooyeong Kim , Hermie Monterde , Bahman Ahmadi , Ada Chan , Stephen Kirkland , Sarah Plosker

We characterize perfect state transfer on real-weighted graphs of the Johnson scheme $\mathcal{J}(n,k)$. Given $\mathcal{J}(n,k)=\{A_1, A_2, \cdots, A_k\}$ and $A(X) = w_0A_0 + \cdots + w_m A_m$, we show, using classical number theory…

组合数学 · 数学 2020-07-15 Luc Vinet , Hanmeng Zhan

A method for high-fidelity quantum state transfer in a quantum network coupled to a continuum, based on time reversal in the continuum after decay, is theoretically suggested. Provided that the energy spectrum of the network is symmetric…

量子物理 · 物理学 2016-05-04 Stefano Longhi

We study perfect state transfer in Kendon's model of discrete quantum walks. In particular, we give a characterization of perfect state transfer purely in terms of the graph spectra, and construct an infinite family of $4$-regular circulant…

组合数学 · 数学 2018-08-20 Hanmeng Zhan

State transfer is a well-known routine for various systems of spins-$\frac{1}2$. Still, it is not well studied for chains of spins of larger magnitudes. In this contribution we argue that while perfect state transfer may seem unnatural in…

量子物理 · 物理学 2014-01-09 Marcin Wiesniak , Arijit Dutta , Jeonghee Ryu

We study the possibility of performing perfect teleportation of unknown quantum states from multiple senders to a single receiver with a previously shared stabilizer state. In the model we considered, the utilized stabilizer state is…

量子物理 · 物理学 2011-08-26 Guoming Wang , Mingsheng Ying

Classification and construction of symmetry protected topological (SPT) phases in interacting boson and fermion systems have become a fascinating theoretical direction in recent years. It has been shown that the (generalized) group…

强关联电子 · 物理学 2018-04-05 Qing-Rui Wang , Zheng-Cheng Gu

In this paper, we analyze state transfer in quantum walks by using combinatorial methods. We generalize perfect state transfer in two-reflection discrete-time quantum walks to a notion that we call 'peak state transfer'; we define peak…

组合数学 · 数学 2025-01-14 Krystal Guo , Vincent Schmeits

We find all the $XX$ spin chains with perfect state transfer (PST) that are connected with the dual -1 Hahn polynomials $R_n(x; \alpha,\beta,N)$. For $N$ odd we recover a model that had already been identified while for $N$ even, we obtain…

数学物理 · 物理学 2015-06-03 Luc Vinet , Alexei Zhedanov

We demonstrate that perfect state transfer can be achieved using an engineered spin chain and clean local end-chain operations, without requiring the initialization of the state of the medium nor fine tuning of control-pulses. This…

量子物理 · 物理学 2008-12-10 C. Di Franco , M. Paternostro , M. S. Kim

We derive families of optimal and near-optimal probe states for quantum estimation of the coupling constants of a general two-mode number-conserving bosonic Hamiltonian describing one-body and two-body dynamics. We find that the optimal…

量子物理 · 物理学 2016-11-23 T. J. Volkoff

We propose a protocol for quantum networking based on deterministic quantum state transfer between distant memory nodes using photon-number superposition states (PNSS). In the suggested scheme, the quantum nodes are single atoms confined in…

量子物理 · 物理学 2018-11-14 Anahit Gogyan , Yuri Malakyan

By considering distance-regular graphs as spin networks, we investigate the state transfer fidelity in this class of networks. The effect of environment on the dynamics of state transfer is modeled using Milburn's intrinsic decoherence [G.…

量子物理 · 物理学 2017-01-04 R. Sufiani , A. Pedram

We consider an inhomogeneous XX spin chain which interpolates between the Krawtchouk one with perfect state transfer and the homogeneous XX chain. This model can be exploited in order to perform state transfer of a qubit with sufficiently…

量子物理 · 物理学 2024-12-04 Luc Vinet , Alexei Zhedanov

Quantum state transfer is the act of transferring quantum information from one system in a quantum network to another without physically transporting carriers of quantum information, but instead engineering a Hamiltonian such that the state…

量子物理 · 物理学 2025-01-31 Markku Hahto , Jyrki Piilo , Johannes Nokkala